Publications

arxiv page

2017

Finite-Size Scaling of Out-Of-Time-Ordered Correlators at Late Times
Y. Huang, F.G.S.L. Brandao, Y.-L. Zhang
arXiv:1705.07597

Entanglement Area Laws For Long-Range Interacting Systems
Z.-X. Gong, M. Foss-Feig, F.G.S.L. Brandao, A.V. Gorshkov 
arXiv:1705.07597

2016 

Finite Correlation Length Implies Efficient Preparation of Quantum Thermal States
F.G.S.L. Brandao, M. Kastoryano
arXiv:1609.07877
Talk QIP 2017

Deconstruction and the Conditional Erasure of Quantum Correlations
M. Berta, F.G.S.L. Brandao, C. MajenzM. Wilde
arXiv: 1609.06636
Talk QIP 2017

Quantum Approximate Markov Chains are Thermal
K. Kato, F.G.S.L. Brandao
arXiv: 1609.06636
Talk QIP 2017

Quantum Speed-ups for Semidefinite Programming
F.G.S.L. Brandao, K. Svore
arXiv:1609.05537
Talk QIP 2017

Efficient Quantum Pseudo-Randomness
F.G.S.L. Brandao, A. HarrowM. Horodecki
arXiv:1605.00713
Phys Rev. Lett. 116, 170502 (2016)
Featured talk QIP 2012

The Mathematics of Entanglement
F.G.S.L. Brandao, M. ChristandlA. Harrow, M. Walter
Lecture Notes for Los Andes 5th School on Mathematical Physics
arXiv:1604.01790

Amplifying the Randomness of Weak Sources Correlated with Devices
H. Wojewodka, F.G.S.L. Brandao, A. Grudka, M. Horodecki, K. Horodecki, P. Horodecki,  
M. Pawlowski, R. Ramanathan
arXiv:1601.06455


2015

Replacing Hierarchies with Nets
F.G.S.L. Brandao, A. Harrow
arXiv:1509.05065
Talk QIP 2016

Area Law for Fixed Points of Rapidly Mixing Dissipative Quantum Systems
F.G.S.L. Brandao, T. Cubitt, A. Lucia, S. Michalakis, D. Perez-Garcia 
J. Math. Phys. 56, 102202 (2015)
arXiv:1505.02776
Talk TQC 2015

Randomness Amplification Against No-Signaling Adversaries Using Two Devices
R. Ramanathan, F.G.S.L. Brandao, K. Horodecki, M. Horodecki, P. Horodecki, H. Wojewodka
arXiv:1504.06313
Talk QCrypt 2015

Equivalence of Statistical Mechanical Ensembles for Non-Critical Quantum Systems
F.G.S.L. Brandao, M. Cramer
arXiv:1502.03263
Talk QIP 2015

The General Structure of Quantum Resource Theories
F.G.S.L. Brandao, G. Gour 
Phys. Rev. Lett. 115, 070503 (2015)
arXiv:1502.03149


2014

Quantum Conditional Mutual Information, Reconstructed States, and State Redistribution 
F.G.S.L. Brandao, A. Harrow, J. Oppenheim, S. Strelchuk
Phys. Rev. Lett. 115, 050501 (2015)
arXiv:1411.4921

Entanglement Area Law from Specific Heat Capacity 
F.G.S.L. Brandao, M. Cramer
Phys. Rev. B 92, 115134 (2015)
arXiv:1409.5946

Quantum Gibbs Samplers: the commuting case 
M.J. Kastoryano, F.G.S.L. Brandao
Comm. Math. Phys. 344, 915 (2016)
arXiv:1409.3435
Talk QIP 2015


2013

Generic Emergence of Classical Features in Quantum Darwinism 
F.G.S.L. Brandao, M. Piani,
 P. Horodecki
Nature Communications 6, 7908 (2015)
arXiv:1310.8640

Robust Device-Independent Randomness Amplification with Few Devices 
F.G.S.L. Brandao, 
R. Ramanathan, A. GrudkaK. HorodeckiM. HorodeckiP. Horodecki
Nature Communications 7, 11345 (2016)
arXiv:1310.4544
Talk QIP 2014

Product-State Approximations to Quantum Groundstates
F.G.S.L. Brandao and A.W. Harrow
Comm. Math. Phys. 342, 47 (2016)
STOC '13 
arXiv:1310.0017
Featured talk QIP 2013

An Area Law for Entanglement from Exponential Decay of Correlations
F.G.S.L. Brandao and M. Horodecki
Nature Physics 9, 721 (2013)
arXiv:1309.3789
Plenary Talk QIP 2013

Adversarial Hypothesis Testing and Quantum Stein's Lemma for Restricted Measurements
F.G.S.L. Brandao, A.W. HarrowJ.R. LeeY. Peres
ITCS '14
arXiv:1308.6702

The Second Laws of Quantum Thermodynamics
F.G.S.L. Brandao, M. HorodeckiN.H.Y. NgJ. OppenheimS. Wehner
PNAS 112, 3275 (2015)
arXiv:1305.5278
Talk QIP 2014

2012

Quantum de Finetti Theorems under Local Measurements with Applications
F.G.S.L. Brandao and A.W. Harrow  
STOC '13  
Comm. Math. Phys. 
arXiv:1210.6367   
Contributed talk QIP 2013

Exponential Decay of Correlations Implies Area Law
F.G.S.L. Brandao and M. Horodecki 
Comm. Math. Phys. 333, 761 (2015)
arXiv:1206.2947   
Plenary talk QIP 2013

Local Random Circuits are Approximate Polynomial-Designs
F.G.S.L. Brandao, A.W. Harrow, and M. Horodecki
Comm. Math. Phys. 2016
arXiv:1208.0692 
Featured talk QIP 2012

Hypercontractivity, Sum-of-Squares Proofs, and their Applications   
B. Barak, F.G.S.L. Brandao, A.W. Harrow, J.A. Kelner, D. Steurer, Y. Zhou
STOC '12    
arXiv:1205.4484


2011

The Resource Theory of Quantum States Out of Thermal Equilibrium
F.G.S.L. Brandao, M. Horodecki, J. Oppenheim, J.M. Renes, R.W. Spekkens
Phys. Rev. Lett. 111, 250404 (2013)
arXiv:1111.3882

Entanglement Distillation By Extendible Maps
L. Pankowski, F.G.S.L. Brandao, M. Horodecki, G. Smith  
Q. Inf. Comp. 13, 751 (2013)      
arXiv:1109.1779

Entanglement Cost of Quantum Channels 
M. Berta,  F.G.S.L. Brandao, M. Christandl, S. Wehner    
IEEE Trans. Info. Theo. 59, 6779 (2013)
IST '12
arXiv:1108.5357

Convergence to Equilibrium Under a Random Hamiltonian   
F.G.S.L. Brandao, P. Cwiklinski, M. Horodecki, P. Horodecki, J. Korbicz, M. Mozrzymas    
Phys. Rev. E 86, 031101 (2012)    
arXiv:1108.2985

When Does Noise Increase the Quantum Capacity?    
F.G.S.L. Brandao, J. Oppenheim, S. Strelchuk    
Phys. Rev. Lett. 108, 040501 (2012)    
arXiv:1107.4385

A Smooth Entropy Approach to Quantum Hypothesis Testing and the Classical Capacity of Quantum Channels
N. Datta, M. Mosonyi, M.-H. Hsieh, F.G.S.L. Brandao
IEEE Trans. Inf. Theo. 59, 8014 (2013)     
arXiv:1106.3089


2010

Detection of Multiparticle Entanglement: Quantifying the Search for Symmetric Extensions     
F.G.S.L. Brandao and
M. Christandl
Phys. Rev. Lett. 109, 160502 (2012) 
arXiv:1011.2751

A Quasipolynomial-time Algorithm for the Quantum Separability Problem
F.G.S.L. Brandao, M. Christandl, and J. Yard  
STOC '11    
arXiv:1011.2751   
Plenary talk QIP 2011

Entanglement Inputs Cannot Make Imperfect Quantum Channels Perfect    
F.G.S.L. Brandao, J. Eisert, M. Horodecki, D. Yang      
Phys. Rev. Lett. 106, 230502 (2011)
arXiv:1010.5074

Exponential Quantum Speed-Ups are Generic  
F.G.S.L. Brandao and M. Horodecki    
Q. Inf. Comp. 13, 0901 (2013)  
arXiv:1010.3654         
Contributed talk QIP 2011 

Faithful Squahed Entanglement   
F.G.S.L. Brandao, 
M. Christandl, and J. Yard
Commun. Math. Phys. 306, 805 (2011)        
arXiv:1010.1750            
Plenary talk QIP 2011

Public Quantum Communication and Superactivation
F.G.S.L. Brandao and J. Oppenheim        
IEEE Trans. Info. Theo. 59, 2517 (2o13)     
arXiv:1005.1975             
Featured talk QIP 2011

The Quantum One-Time Pad in the Presence of an Eavesdropper        
F.G.S.L. Brandao and 
J. Oppenheim    
Phys. Rev. Lett. 108, 040504 (2012)     
Editors's Choice      
arXiv:1004.3328 
Featured talk QIP 2011

2009

On Hastings' Counterexamples to the Minimum Output Entropy Additivity Conjecture  
F.G.S.L. Brandao and M. Horodecki    
Open Syst. Inf. Dyn. 17, 31 (2010)  
arXiv:0907.3210

One-shot Rates for Entanglement Manipulation under Non-Entangling Maps
F.G.S.L. Brandao and N. Datta  
IEEE Trans. Inf. Theo. 57, 1754 (2011)
arXiv:0905.2673

A Generalization of Quantum Stein's Lemma   
F.G.S.L. Brandao and M.B. Plenio    
Commun. Math. Phys. 295, 791 (2010)    
arXiv:0904.0281   
Featured talk QIP 2009


2008

The Pursuit of Uniqueness: Extending Valiant-Vazirani Theorem to the Probabilistic and Quantum Settings   
D. Aharonov, M. Ben-Or, F.G.S.L. Brandao, O. Sattath  
arXiv:0810.4840

Entanglement Theory and the Second Law of Thermodynamics
F.G.S.L. Brandao and M.B. Plenio
Nature Physics 4, 873 (2008)      
arXiv:0810.2319   
Plenary talk QIP 2008      

Quantum Many-Body Phenomena in Coupled Cavity Arrays     
M.J. Hartmann, F.G.S.L. Brandao, M.B. Plenio  
Laser and Photon. Rev. 2, 6 527 (2008)  
arXiv:0808:2557


2007

A Reversible Theory of Entanglement and its Relation to the Second Law   
F.G.S.L. Brandao and M.B. Plenio    
Commun. Math. Phys. 295, 829 (2010)      
arXiv:0710.5827   
Plenary talk QIP 2008   

Correlated Entanglement Distillation and the Structure of the Set of Undistillable States  
F.G.S.L. Brandao and J. Eisert  
J. Math. Phys. 49, 042102 (2008)  
arXiv:0709.3835

Geometrically Induced Singular Behaviour of Entanglement  
D. Cavalcanti, P.L. Saldanha, O. Cosme, F.G.S.L. Brandao, C.H. Monken, S. Padua, M. Franca Santos and M.O Terra Cunha
Phys. Rev. A 78, 012318 (2008)  
arXiv:0709.0301

A Polaritonic Two-Component Bose-Hubbard Model    
M.J. Hartmann, F.G.S.L. Brandao and M.B. Plenio  
New J. Phys. 10, 033011 (2008)    
arXiv:0707.2251

Light-Shift-Induced Photonic Non-Linearities
F.G.S.L. Brandao, M.J. Hartmann, and M.B. Plenio
New J. Phys. 10, 043010 (2008)      
arXiv:0705.2398                                                                                                                                                               

Effective Spin Systems in Coupled Micro-Cavities    
M.J. Hartmann, F.G.S.L. Brandao, M.B. Plenio  
Phys. Rev. Lett. 99, 160501 (2007)      
arXiv:0704.3056

Remarks on the Equivalence of Full Addidivity and Monotonicity of the Entanglement Cost  
F.G.S.L. Brandao,
M. Horodecki, M.B. Plenio, and S. Virmani
Open Sys. Inf. Dyn. 14, 333 (2007)  
arXiv:quant-ph/0702136       


2006

Quantitative Entanglement Witnesses
J. Eisert, F.G.S.L. Brandao, and K.M.R. Audenaert  
New J. Phys. 9, 46 (2007)      
arXiv:quant-ph/0607167                     

Strongly Interacting Polaritons in Coupled Cavity Arrays of Cavities      
M.J. Hartmann, F.G.S.L. Brandao, and M.B. Plenio    
Nature Physics 2, 849 (2006)      
arXiv:quant-ph/0606097           


2005

Entanglement Quantifiers and Phase Transitions   
D. Cavalcanti, F.G.S.L. Brandao, M.O. Terra Cunha
New J. Phys. 8, 260 (2006)    
arXiv:quant-ph/0510132

Entanglement Activation and the Robustness of Quantum Correlations   
F.G.S.L. Brandao        
Phys. Rev. A 76, 030301( R) (2007)      
arXiv:quant-ph/0510078

Entanglement as a Quantum Order Parameter        
F.G.S.L. Brandao      
New J. Phys. 7, 254 (2005)  
arXiv:quant-ph/0509049       

Are All Maximally Entangled States Pure?  
D. Cavalcanti, F.G.S.L. Brandao, M.O Tera Cunha  
Phys. Rev. A 72, 040303( R) (2005)      
arXiv:quant-ph/0505121                                                                                                                                            

Quantifying Entanglement with Witness Operators       
F.G.S.L. Brandao      
Phys. Rev. A 72, 022310 (2005)    
arXiv:quant-ph/0503152


2004

Witnessed Entanglement  
F.G.S.L. Brandao and R.O. Vianna      
Int. J. Quant. Inf. 4, 331 (2006)    
arXiv:quant-ph/0405096

Separable Multipartite Mixed States - Operational Asymptotically Necessary and Sufficient Conditions  
F.G.S.L. Brandao and R.O. Vianna
Phys. Rev. Lett. 93, 220503 (2004)    
arXiv:quant-ph/0405063    

A Robust Semidefinite Programming Approach to the Separability Problem
F.G.S.L. Brandao and R.O. Vianna  
Phys. Rev. A 70, 062309 (2004)    
arXiv:quant-ph/0405008


PhD Thesis

Entanglemet Theory and the Quantum Simulation of Many-Body Physics
F.G.S.L. Brandao
PhD Thesis, Imperial College London, 2008  
arXiv:0810.0026